100202341512 has 512 divisors, whose sum is σ = 343926374400. Its totient is φ = 23575090176.

The previous prime is 100202341469. The next prime is 100202341513. The reversal of 100202341512 is 215143202001.

It is a super-2 number, since 2×100202341512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (100202341513) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63944553 + ... + 63946119.

It is an arithmetic number, because the mean of its divisors is an integer number (671731200).

Almost surely, 2^100202341512 is an apocalyptic number.

100202341512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100202341512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171963187200).

100202341512 is an abundant number, since it is smaller than the sum of its proper divisors (243724032888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100202341512 is a wasteful number, since it uses less digits than its factorization.

100202341512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 100202341512 its reverse (215143202001), we get a palindrome (315345543513).

It can be divided in two parts, 10020 and 2341512, that added together give a palindrome (2351532).

The spelling of 100202341512 in words is "one hundred billion, two hundred two million, three hundred forty-one thousand, five hundred twelve".